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Finding the Fourth Proportional to 3,852.41, 5,311.42 and 2,590.78

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Solution

The fourth proportional to 3,852.41, 5,311.42 and 2,590.78 is: 3,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.41 : 5,311.42 = 2,590.78 : x
  2. Step 2: Convert to fraction form
    3,852.41/5,311.42 = 2,590.78/x
  3. Step 3: Cross multiply
    3,852.41x = 5,311.42 × 2,590.78
  4. Step 4: Simplify right side
    3,852.41x = 13,760,700.95
  5. Step 5: Solve for x
    x = 13,760,700.95/3,852.41
  6. Step 6: Final answer
    x = 3,571.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.